Cremona's table of elliptic curves

58080 = 2⁵ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	58080i	Isogeny class
Conductor	58080	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-224099348552640000 = -1 · 29 · 33 · 54 · 1110	Discriminant
Eigenvalues	2+ 3+ 5-  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-87160,-24807308]	[a1,a2,a3,a4,a6]
Generators	[16284:2077570:1]	Generators of the group modulo torsion
j	-80733594248/247066875	j-invariant
L	5.5556903228436	L(r)(E,1)/r!
Ω	0.12831048100848	Real period
R	5.4123504555057	Regulator
r	1	Rank of the group of rational points
S	1.0000000000332	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	58080v2 116160hq3 5280n4	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 58080i2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	-	0	-	2	-2	-4	8	-6	-8	2	2	8	-8	14	-4	-10	4	-4	-10	8	4	2	18

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Quadratic twists for elliptic curve 58080i2

-4	8	-11
58080v2	116160hq3	5280n4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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